alternating series
التعريفات والمعاني
== English ==
=== Noun ===
alternating series (plural alternating series)
(mathematics) An infinite series in the form of
∑
n
=
0
∞
(
−
1
)
n
a
n
{\displaystyle \sum _{n=0}^{\infty }(-1)^{n}a_{n}}
or
∑
n
=
0
∞
(
−
1
)
n
+
1
a
n
{\displaystyle \sum _{n=0}^{\infty }(-1)^{n+1}a_{n}}
, where
a
n
>
0
{\displaystyle a_{n}>0}
for all
n
{\displaystyle n}
.
==== Derived terms ====
alternating series test
==== Translations ====